Search a number
-
+
11835141032 = 23111367154409
BaseRepresentation
bin10110000010110110…
…11110101110101000
31010112210220110100202
423001123132232220
5143214244003112
65234220051332
7566200016231
oct130133365650
933483813322
1011835141032
1150236a06a0
122363693b48
131167c62540
14803b86088
154940586c2
hex2c16deba8

11835141032 has 64 divisors (see below), whose sum is σ = 26459697600. Its totient is φ = 4891645440.

The previous prime is 11835141007. The next prime is 11835141053. The reversal of 11835141032 is 23014153811.

It is a junction number, because it is equal to n+sod(n) for n = 11835140986 and 11835141004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557 + ... + 153852.

It is an arithmetic number, because the mean of its divisors is an integer number (413432775).

Almost surely, 211835141032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11835141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13229848800).

11835141032 is an abundant number, since it is smaller than the sum of its proper divisors (14624556568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11835141032 is a wasteful number, since it uses less digits than its factorization.

11835141032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154506 (or 154502 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 11835141032 its reverse (23014153811), we get a palindrome (34849294843).

The spelling of 11835141032 in words is "eleven billion, eight hundred thirty-five million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 67 88 104 134 143 268 286 536 572 737 871 1144 1474 1742 2948 3484 5896 6968 9581 19162 38324 76648 154409 308818 617636 1235272 1698499 2007317 3396998 4014634 6793996 8029268 10345403 13587992 16058536 20690806 22080487 41381612 44160974 82763224 88321948 113799433 134490239 176643896 227598866 268980478 455197732 537960956 910395464 1075921912 1479392629 2958785258 5917570516 11835141032